Geodesic
Representation-directed algebras form an open scheme
Stanislaw Kasjan1
1Faculty of Mathematics and Computer Science Nicholas Copernicus University Chopina 12/18 87-100 Toruń, Poland
Colloquium Mathematicum, Tome 93 (2002) no. 2, pp. 237-250
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We apply van den Dries's test to the class of algebras (over algebraically closed fields) which are not representation-directed and prove that this class is axiomatizable by a positive quantifier-free formula. It follows that the representation-directed algebras form an open ${{\mathbb Z}}$-scheme.
DOI : 10.4064/cm93-2-3
Keywords: apply van den driess test class algebras algebraically closed fields which representation directed prove class axiomatizable positive quantifier free formula follows representation directed algebras form mathbb scheme

Stanislaw Kasjan  1

1 Faculty of Mathematics and Computer Science Nicholas Copernicus University Chopina 12/18 87-100 Toruń, Poland 
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 form an open scheme},
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 form an open scheme
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 form an open scheme
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Stanislaw Kasjan. Representation-directed algebras
 form an open scheme. Colloquium Mathematicum, Tome 93 (2002) no. 2, pp. 237-250. doi: 10.4064/cm93-2-3

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